Heegner issues on either modular curves and elliptic curves over international fields of any characteristic form the subject of this study monograph. The Heegner module of an elliptic curve is an unique suggestion brought during this textual content. The computation of the cohomology of the Heegner module is the most technical outcome and is utilized to end up the Tate conjecture for a category of elliptic surfaces over finite fields, this conjecture is reminiscent of the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over worldwide fields.

Contents and remedy are clean and extremely varied from the normal remedies offers an absolutely confident model of what it skill to do algebra The exposition isn't just transparent, it really is pleasant, philosophical, and thoughtful even to the main naive or green reader

Within the spring of 1976, George Andrews of Pennsylvania country college visited the library at Trinity collage, Cambridge, to ascertain the papers of the past due G. N. Watson. between those papers, Andrews stumbled on a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly detailed "Ramanujan's misplaced workstation.

This can be a ebook approximately leading numbers, congruences, mystery messages, and elliptic curves that you should learn hide to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the collage of Washington. The systematic research of quantity thought was once initiated round 300B.

"It provides a delicate portrait of an exceptional person. It describes effectively and intelligibly on a nontechnical point the realm of mathematical principles during which Hilbert created his masterpieces. And it illuminates the history of German social background opposed to which the drama of Hilberts existence used to be performed.